A.) A 4.1-kg block of ice originally at 263 K is placed in thermal contact with
ID: 1387763 • Letter: A
Question
A.) A 4.1-kg block of ice originally at 263 K is placed in thermal contact with a 13.1-kg block of silver (cAg = 233 J/kg-K) which is initially at 1064 K. The H2O - silver system is insulated so no heat flows into or out of it.
-At what temperature will the system achieve equilibrium?
_____K
B.) If 1 mol of a gas in a cylindrical container occupies a volume of 10 L at a pressure of 1 atm...
-The cylinder is fitted with a piston so that the volume of the gas can vary. When the gas is heated at constant pressure, it expands to a volume of 20 L. What is the temperature of the gas in kelvins?
_____K
-Next, the volume is fixed at 20 L, and the gas's temperature is increased to 350 K. What is the pressure of the gas now?
_____atm
Explanation / Answer
A) We know that Q = m c dT
When the system in equilibrium
Qw = QAg
mw Cw (Tw - Tf) = mAg CAg (Tf - Tag)
Rearrange above relation for final temperature Tf
Tf = [ mw Cw Tw + mAg CAg TAg ] / [mw Cw + mAg CAg ]
= [ 4.1* 4186* (263) + 13.1 * 233* 1064 ] / [4.1* 4186 + 13.1 * 233 ]
= 383.94 K
B) use ideal gas equation P = n RT / V
P1 = 1 atm = 101.2 kP, V = 10L = 0.01m3
R = 8.31 J/ mol-K
from the inital temperature is
T1 = P1 V1 / n R
= 101.2 * 1000 * 0.01 / 1 * 8.31
= 121 K
We know that
V1 / T1 = V2 / T2
==> 0.01 / 121 = 0.02 / T2
==> T2 = 243 K
C) P = n R T / V
= 1 * 8.31 * 350 / 0.02
= 145425 pa
= 1.435 atm
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