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Question
Calculate the work done by 10 g of an ideal gas of molecular weight 44 g in expanding reversibly and isothermaly from a volume of 5 L to 10 L at 300 K.
Calculate the work done by 10 g of an ideal gas of molecular weight 44 g in expanding reversibly and isothermaly from a volume of 5 L to 10 L at 300 K.
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Solution
The correct option is B w = −94 cal
Work done in an isothermal reversible process is given as:
w=−2.303nRT log10V2V1
Number of moles of ideal gas n = 10 g44 g mol−1 = 1044 mol
R = 2 cal K−1 mol−1
T = 300 K
V2V1= 105 = 2
On substituting the values we get,
w = −2.303×1044 × 2 × 300 × log 2
On solving,
w = −93.93 cal
Work done in an isothermal reversible process is given as:
w=−2.303nRT log10V2V1
Number of moles of ideal gas n = 10 g44 g mol−1 = 1044 mol
R = 2 cal K−1 mol−1
T = 300 K
V2V1= 105 = 2
On substituting the values we get,
w = −2.303×1044 × 2 × 300 × log 2
On solving,
w = −93.93 cal
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