Question #40673

THE FRACTIONAL CHANGE IN INTERNAL ENERGY WHEN A GAS IS COOLED FROM 927°C TO 27°C IS :
1. 0.25
2. 0.75
3. 1
4. 0.67

Expert's answer

Answer on Question# 40673, Physics, Molecular Physics Question: THE FRACTIONAL CHANGE IN INTERNAL ENERGY WHEN A GAS IS COOLED FROM 927 C TO 27 C IS :1. 0.25 2. 0.75 3. 1 4. 0.67

Solution. The formula for internal energy of the gas is

U=c^VnRTU=\hat{c}_{V}nRT

where TT is temperature is kelvins. Hence, the change is

ΔU2ΔU1=T2T1=273+27273+927=0.25\frac{\Delta U_{2}}{\Delta U_{1}}=\frac{T_{2}}{T_{1}}=\frac{273+27}{273+927}=0.25

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