A balloon filled with 37.7 mol helium has a volume of 845. L at 0.0°C and 1.00 atm pressure. The temperature of the balloon is increased to 58.0°C as it expands to a volume of 1025 L, the pressure remaining constant. Calculate q, w, and ΔE for the helium in the balloon. (The molar heat capacity for helium gas is 20.8 J/°C·mol.)
q ____ kJ
w_____kJ
ΔE____kJ
Please show work
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Verified answer
E = q + w
Q = nCdeltaT
Q = 37.7mol * 20.8 J/C*mol * (58.0C - 0.0C)
Q = 45481.28 J
W = -P * delta V
W = -1atm * (1025 - 845) /
W = -180
Now we need it J /L * atm
-180 * 101.3 J/L atm
w = -18234 J
E = 45481.28 J + (-18234 J)
E = 27247.48 J or 27.24 kJ