Specific Heat Capacity - Worksheet (key) n6t3l
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t//c Specific Heat Capacity
L.
c-- tL "! ) fi -- L], 6"( 8
Q= nc
lry"c
T!11fr{;fliftt !i;
au296r?!)J 7-Q= 7t2 tet J
oo.J/kt" ")(Lt
/
'19b
- L3,t")
6/-- pc6f
fi1;7t t Kl 12,o' .(. Ti
{,4
(XT, | "(
How much heat is n6:tdedto;arm up 36 kg of hydrogen gas from 12.0 "C to 48.0 "C?
Q'(
,-'
bf
o, J/4'4 6?--- tn t$ (,o
,/,10. 2.
- Worksheet 1
ln kJ, how much heat is required to raise the temperature of L.23 kg of water from 23.6"Cto 84.9 "C? (317 kJ)
#:,':* Ko T.F"
/ oP"(
3.0"c
- ll-{:'c)
Q< t.6 *: ot J
much heat is released when a 260.0 g plate of copper cools from 5.30 x 10' (-24.0 kJ) ru
rrT
A= L(o,ot'- o.2loo49 , clo) /l{j'c
L--
fi= r.1o>
Q=nC bf
tl=
o ,L6oo
g
(1no5lKJ'r)(
"qgK'
Q--ncAf
4;v,(KJ . 74ooJ h = l,t( re) ls-r-7
5.
5,1o'/{0'/()
in temperature the rod
340" Z
=A{
G4(uo1/try"r)
ffi
L'- 7to XtKl'(
to 20.0 "C?
:!? Y:7!( KJ
71F,0 Ts = Lo.o !.L-=L17 K /(-ft 4. 3.4 ki of heat is added to a 1.4 kg rod of uranium. What is the change undergoes?
K
24OOOJofheatisreleasedwhen640gofsilverdropsintemperature. lfthesilverwasinitially at -10.0 "C, what is the final temperature of the silver? (-170 "C)
(\-- - z( tyl--
ooo
6tt/' --
Q= thc (vr;)
j
o'64o rg
Ti -- -/ o,0'c
-7 €-- Z\o T/(g"( lr'
I
I
t
gf 7 Tr-Ti fr1c n ,* + li 4-n
NC
-
tt(o
oof
o,6v,, t{y
'.- l7o"(
(tlrl//GI)
>f-rr
+ C/o''"4'7;
9#c L'fq 6.
A mass of gold, initially at 540.0 "C, experiences a drop in temperature of 12.0 "C when 82.0 J of heat is released. What is the mass of the gold in grams?
TT=ft12(
,sf
bT= @4>o'(
- t).o5
(9.--
a -62'c)j (,i l/r'q'rf,-tt,o't)
Q> lnc Af -A _
n-1
=n
:h
\"
o . of
C71io5/4y"(
4'? ath
7. 5.00x102Jof
heatproducesatemperatureincrease of 8.77 Kinag5gsampleof anunknown substance. What is the specific heat capacity? What is the substance? (6.00 x IOz J/kg"C)
q-- ,,oo y/0"
bT= 6.7?
g= nc bf
J
K
nz4f u= o.olint -r/
+ nLt
T,ou
-- C
o,o|f 6@0
6-- |
>rotJ
9 l, *n 11
Yo-Vrlr- (
8.
What is the difference between the amount of heat required to show an increase of 25.0 K thermometer containing 2.00 g of mercury and a thermometer made of the same mass of methyl alcohol? Be sure to take the larger number and subtract the smaller number. t|.{4y H"olwl AT= 2f .0K ,C7 e-- (o."" rt)(t,t bt= Lr.o K =Ql*r)(>nil{u) 4 Ero K
*_
&--? ft1= Z,oo2=o'oo>t(7 C-_ tt4o S/Kr, ltf Q-= rha 6;
9.
) ff=
"i/t$
q= 7. 6
.I
J- 77 t
k-i
'?'o-y:,i1,'9 ttllo( ?-rfo
LTT
g)
f\--7
-_
Il-t,ul .n*dr lttt ,lore 4y( oT'mercury must oe In a tnermomeTer t .r -^ ^ aT a:^c
M=4'
A::'b-{) +;A 't (AK
c=
eSrrT
show the same temperature increase as the methyl alcohol thermometer in #8 (if it received the same amount of energy)?
How many
(35.7
A1'-
,&2
/
o?
f7
t(
f/ nx ?{7q ./
oK) -
/qo5/U'L @
10. A 15.75-9 piece of iron absorbs L}86.75joules of heat energy, and its temperature changes
from 25"C to 175"C. Calculate the specific heat capacity of iron.
gz o,otSZfb lo 8t ,7f t
h= lf ,7f Q=-
2-f"c Tr= 12f'c It
C=7
Q- ^,
A
cx 4/o J/4'c
T
-qL=C rh[f
lrlT6,7rl-o,;re(nr'< -Lrz)
.
=-c
flc o?"r 7
11. How many joules of heat are needed to raise the temperature of 10.0 g of aluminum from 22"C
to 55"C, if the specific heat of aluminum
Q-- ncAf
Q,r7 th=
is 0.90 Ug"C?
to.o)-
)
( rrl_ - 2Lo c)
7,ono"i) T;,Ti,: 1e: L -- o,Xo//lo (
t2.f o whaftemperature will a 50.0 g piece of glass raise if it absorbs
5275 joules of heat and its
specific heat capacity is 0.50 J/g"C? The initial temperature of the glass is 20.0"C.
fn= f,).
o)
I
n( CTe -Ti)
A=
I EPf l
q=t >7f ) | h = T, -Tr' ilro .1 -' T7 s1 o.fo5/1"
4
(o'*5/t
|W
# T.v?-r'o"''i r'' 'l
o,
4
Zz.yoc
= T+
-,)
i!. Calculate dre heat capacity of a piece of wood if 1500.0 g of the wood absorbs 6.75x1-04 joules of heat, and its tem.perature changes fromr32"C to 57"C.
7
c=
I Q- --
*, t)T I t,7f Yrc'I--
= cv
+' c foffi4 l-1 J/q"c e tsoot/g", T:;", rbr l@ A:;::?'!lo* t
|
.L,
temperature is 37"C. lf the specific heat of water 4.!8J,/g"C, calculate the amount of heat energy needed to cause this rise in temperature.
14. 1OO.O mL of 4.0"C
Q=7 h > l0ts,tt 2 f, -- L/' O't 'fp ; 1?'C
L= '?,tt 5/1L
6L=
is heated untit
["r4",
is
atc bT
e=-
| 0o.09
U,l g 7j "c)(i?
oc'
* o'c )
the same specific heat as water (q.B lgSC), calculate the amount of heat in kJ transferred when one can (about 350g) is cooled from 25"C to 3"C .
15. Assuming
QrT
C=- L(
/n>
(t5/?".
7fo)
f;; Lf '< Tr
that Coca Cola
'7'C
has
Q> m< LT
q = vat ( tr, tt f/1") (2"(- Lf 'L)
Q. ''7u{ } Qx -7)* KJ
5/?4 A'PT 16. Mercury (Hg) is the only metalthat exists as a liquid at room temperature. Hg as a specific heat capacity of O.L OJ/9"C. How many kilojoules of energy are required to increase 75.0kg of Hg
from 23.0 to 52.0"C?
Q-- th cOT
C--o,l4o 5/1'C 6.=7
Q = Trooot
n' 7f"%t 7fooo1 fi = )4'0"(
Tr'
A-ooc
17. Titanium metal is used as a
( o, / rt o 7/) "t) (f2- o'c -
7\r, 0 "L)
Q: loTfoo7 Vof k5 = struCtffil
material in many high-tech applications such as jet
engines. What is the specific heat of titanium (in J/g"C) if it takes 89.7 J to raise the temperature
of a 33.09 block by 5.20"C?
c=7 Q -- x1,7
(2-=
j
fttl= 77,0 t />T= r,")- o" C
0 nLT ---=
r4c_
A
T
6(,77
("r( ,. 2,0'c) 'O.577 5 "C /q
:C
L.
c-- tL "! ) fi -- L], 6"( 8
Q= nc
lry"c
T!11fr{;fliftt !i;
au296r?!)J 7-Q= 7t2 tet J
oo.J/kt" ")(Lt
/
'19b
- L3,t")
6/-- pc6f
fi1;7t t Kl 12,o' .(. Ti
{,4
(XT, | "(
How much heat is n6:tdedto;arm up 36 kg of hydrogen gas from 12.0 "C to 48.0 "C?
Q'(
,-'
bf
o, J/4'4 6?--- tn t$ (,o
,/,10. 2.
- Worksheet 1
ln kJ, how much heat is required to raise the temperature of L.23 kg of water from 23.6"Cto 84.9 "C? (317 kJ)
#:,':* Ko T.F"
/ oP"(
3.0"c
- ll-{:'c)
Q< t.6 *: ot J
much heat is released when a 260.0 g plate of copper cools from 5.30 x 10' (-24.0 kJ) ru
rrT
A= L(o,ot'- o.2loo49 , clo) /l{j'c
L--
fi= r.1o>
Q=nC bf
tl=
o ,L6oo
g
(1no5lKJ'r)(
"qgK'
Q--ncAf
4;v,(KJ . 74ooJ h = l,t( re) ls-r-7
5.
5,1o'/{0'/()
in temperature the rod
340" Z
=A{
G4(uo1/try"r)
ffi
L'- 7to XtKl'(
to 20.0 "C?
:!? Y:7!( KJ
71F,0 Ts = Lo.o !.L-=L17 K /(-ft 4. 3.4 ki of heat is added to a 1.4 kg rod of uranium. What is the change undergoes?
K
24OOOJofheatisreleasedwhen640gofsilverdropsintemperature. lfthesilverwasinitially at -10.0 "C, what is the final temperature of the silver? (-170 "C)
(\-- - z( tyl--
ooo
6tt/' --
Q= thc (vr;)
j
o'64o rg
Ti -- -/ o,0'c
-7 €-- Z\o T/(g"( lr'
I
I
t
gf 7 Tr-Ti fr1c n ,* + li 4-n
NC
-
tt(o
oof
o,6v,, t{y
'.- l7o"(
(tlrl//GI)
>f-rr
+ C/o''"4'7;
9#c L'fq 6.
A mass of gold, initially at 540.0 "C, experiences a drop in temperature of 12.0 "C when 82.0 J of heat is released. What is the mass of the gold in grams?
TT=ft12(
,sf
bT= @4>o'(
- t).o5
(9.--
a -62'c)j (,i l/r'q'rf,-tt,o't)
Q> lnc Af -A _
n-1
=n
:h
\"
o . of
C71io5/4y"(
4'? ath
7. 5.00x102Jof
heatproducesatemperatureincrease of 8.77 Kinag5gsampleof anunknown substance. What is the specific heat capacity? What is the substance? (6.00 x IOz J/kg"C)
q-- ,,oo y/0"
bT= 6.7?
g= nc bf
J
K
nz4f u= o.olint -r/
+ nLt
T,ou
-- C
o,o|f 6@0
6-- |
>rotJ
9 l, *n 11
Yo-Vrlr- (
8.
What is the difference between the amount of heat required to show an increase of 25.0 K thermometer containing 2.00 g of mercury and a thermometer made of the same mass of methyl alcohol? Be sure to take the larger number and subtract the smaller number. t|.{4y H"olwl AT= 2f .0K ,C7 e-- (o."" rt)(t,t bt= Lr.o K =Ql*r)(>nil{u) 4 Ero K
*_
&--? ft1= Z,oo2=o'oo>t(7 C-_ tt4o S/Kr, ltf Q-= rha 6;
9.
) ff=
"i/t$
q= 7. 6
.I
J- 77 t
k-i
'?'o-y:,i1,'9 ttllo( ?-rfo
LTT
g)
f\--7
-_
Il-t,ul .n*dr lttt ,lore 4y( oT'mercury must oe In a tnermomeTer t .r -^ ^ aT a:^c
M=4'
A::'b-{) +;A 't (AK
c=
eSrrT
show the same temperature increase as the methyl alcohol thermometer in #8 (if it received the same amount of energy)?
How many
(35.7
A1'-
,&2
/
o?
f7
t(
f/ nx ?{7q ./
oK) -
/qo5/U'L @
10. A 15.75-9 piece of iron absorbs L}86.75joules of heat energy, and its temperature changes
from 25"C to 175"C. Calculate the specific heat capacity of iron.
gz o,otSZfb lo 8t ,7f t
h= lf ,7f Q=-
2-f"c Tr= 12f'c It
C=7
Q- ^,
A
cx 4/o J/4'c
T
-qL=C rh[f
lrlT6,7rl-o,;re(nr'< -Lrz)
.
=-c
flc o?"r 7
11. How many joules of heat are needed to raise the temperature of 10.0 g of aluminum from 22"C
to 55"C, if the specific heat of aluminum
Q-- ncAf
Q,r7 th=
is 0.90 Ug"C?
to.o)-
)
( rrl_ - 2Lo c)
7,ono"i) T;,Ti,: 1e: L -- o,Xo//lo (
t2.f o whaftemperature will a 50.0 g piece of glass raise if it absorbs
5275 joules of heat and its
specific heat capacity is 0.50 J/g"C? The initial temperature of the glass is 20.0"C.
fn= f,).
o)
I
n( CTe -Ti)
A=
I EPf l
q=t >7f ) | h = T, -Tr' ilro .1 -' T7 s1 o.fo5/1"
4
(o'*5/t
|W
# T.v?-r'o"''i r'' 'l
o,
4
Zz.yoc
= T+
-,)
i!. Calculate dre heat capacity of a piece of wood if 1500.0 g of the wood absorbs 6.75x1-04 joules of heat, and its tem.perature changes fromr32"C to 57"C.
7
c=
I Q- --
*, t)T I t,7f Yrc'I--
= cv
+' c foffi4 l-1 J/q"c e tsoot/g", T:;", rbr l@ A:;::?'!lo* t
|
.L,
temperature is 37"C. lf the specific heat of water 4.!8J,/g"C, calculate the amount of heat energy needed to cause this rise in temperature.
14. 1OO.O mL of 4.0"C
Q=7 h > l0ts,tt 2 f, -- L/' O't 'fp ; 1?'C
L= '?,tt 5/1L
6L=
is heated untit
["r4",
is
atc bT
e=-
| 0o.09
U,l g 7j "c)(i?
oc'
* o'c )
the same specific heat as water (q.B lgSC), calculate the amount of heat in kJ transferred when one can (about 350g) is cooled from 25"C to 3"C .
15. Assuming
QrT
C=- L(
/n>
(t5/?".
7fo)
f;; Lf '< Tr
that Coca Cola
'7'C
has
Q> m< LT
q = vat ( tr, tt f/1") (2"(- Lf 'L)
Q. ''7u{ } Qx -7)* KJ
5/?4 A'PT 16. Mercury (Hg) is the only metalthat exists as a liquid at room temperature. Hg as a specific heat capacity of O.L OJ/9"C. How many kilojoules of energy are required to increase 75.0kg of Hg
from 23.0 to 52.0"C?
Q-- th cOT
C--o,l4o 5/1'C 6.=7
Q = Trooot
n' 7f"%t 7fooo1 fi = )4'0"(
Tr'
A-ooc
17. Titanium metal is used as a
( o, / rt o 7/) "t) (f2- o'c -
7\r, 0 "L)
Q: loTfoo7 Vof k5 = struCtffil
material in many high-tech applications such as jet
engines. What is the specific heat of titanium (in J/g"C) if it takes 89.7 J to raise the temperature
of a 33.09 block by 5.20"C?
c=7 Q -- x1,7
(2-=
j
fttl= 77,0 t />T= r,")- o" C
0 nLT ---=
r4c_
A
T
6(,77
("r( ,. 2,0'c) 'O.577 5 "C /q
:C
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