Chapter 5: Thermodynamics Worksheet With Answers - Ap Chemistry 2015-2016 Page 5

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3.   What   a mount   o f   h eat   i s   r eleased   w hen   1 75   g   o f   w ater   c ools   f rom   1 00.°C   t o   r oom   t emperature,   2 0.0  
°C?  
58600   J  
 
 
 
 
4.   We   d on’t   a lways   h ave   t o   w arm   u p   o r   c ool   d own   w ater.     T he   s pecific   h eat   c apacity   o f   c opper   m etal   i s  
0.39   J /g·°C.     I t   i s   _ ____________   ( easier/more   d ifficult)   t o   h eat   u p   c opper   t han   t o   h eat   u p   w ater.  
 
 
How   m uch   e nergy   w ould   i t   t ake   t o   h eat   u p   a   5 .20   g   s ample   o f   c opper   f rom   2 0.0   ° C   t o   1 00.°C?  
162   J  
 
 
 
5.   If   3 00.   J   o f   h eat   e nergy   w ere   u sed   t o   h eat   u p   a   5 .00   g ram   s ample   o f   c opper   m etal   a nd   a   5 .00   g ram  
sample   o f   w ater   b oth   s tarting   a t   1 0.0°C,   c alculate   t he   f inal   t emperature   o f   e ach   s ample?  
Water:   2 4.3˚C;   C opper:   1 64˚C  
Signs   o f   Δ T   a nd   q :  
−   q   m eans   h eat   i s   r eleased.     +   q   m eans   h eat   i s   a bsorbed.  
ΔT   i s   a lways   f inal   t emperature   –   i nitial   t emperature.  
If   s omething   i s   g etting   h otter   ( 10°   →   3 0°)   t he   Δ T   i s   3 0   –   1 0   =   +   2 0°.   ( heat   i s   a bsorbed)  
If   s omething   i s   g etting   c ooler   ( 75°   →   2 5°)   t he   Δ T   i s   2 5   –   7 5   =   −   5 0°.   ( heat   i s   r eleased)  
 
6.   Suppose   w e   m ix   9 0.0   g rams   o f   h ot   w ater   ( 90.0°C)   w ith   1 0.0   g rams   o f   c old   w ater   ( 10.0°C).  
 
Let   x   =   t he   f inal   t emperature.     C   =   4 .184   J /g·°C  
 
a.     S et   u p   a n   e xpression   f or   t he   e nergy   r eleased   ( q)   b y   t he   h ot   w ater   ( Δq
  =   m
CΔT
)  
hot
hot
hot
q   =   9 0*4.184*∆T;   q   =   9 0*4.184*(T
-­‐‑ 9 0)  
F
 
 
b.     S et   u p   a n   e xpression   f or   t he   e nergy   a bsorbed   ( q)   b y   t he   c old   w ater   ( Δq
  =   m
CΔT
)        
cold
cold
cold
q   =   1 0*4.184*(T
-­‐‑ 1 0)  
F
 
 
 
c.   Knowing   t hat   t he   h eat   r eleased   =   −   h eat   a bsorbed,   c ombine   t he   t wo   e xpressions   a nd   s olve   f or   x .  
82˚C    
 
 
 
7.   We   d on’t   a lways   h ave   t o   u se   w ater.     L et’s   u se   s ome   a luminum   s hot   ( pellets).   1 75   g rams   o f   h ot  
aluminum   ( 100.°C)   i s   d ropped   i nto   a n   i nsulated   c up   t hat   c ontains   4 0.0   m L   o f   i ce   c old   w ater   ( 0.0°C).    
Follow   t he   e xample   a bove   t o   d etermine   t he   f inal   t emperature,   x .  
a.     S et   u p   a n   e xpression   f or   t he   h eat   l ost   b y   t he   a luminum   ( C=0.900   J /g·°C)  
 
 
b.     S et   u p   a n   e xpression   f or   t he   h eat   g ained   b y   t he   c old   w ater.    
 
c.   Put   t he   t wo   e xpressions   t ogether   ( don’t   f orget   t o   c hange   o ne   o f   t he   s igns)   a nd   s olve   f or   x .  
48˚C  
 

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