MPSC PYQ

MPSC Rajyaseva 2023 GS Paper 1 — Question 66

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जर 1.0 मोल आदर्श वायूचे आकारमान मानक तापमान आणि दाबाला 22.4 Lit असेल तर सर्वकष वायु स्थिरांक, R ______ असतो. If one mole of an ideal gas occupies 22.4 Lit at Standard Temperature and Pressure, then the value of the universal gas constant R is

a)0.0821 atm Lit mol-1 K-1✓ Correct
b)8.314 x 10⁷ Joules K-1 mol-1
c)82.1 atm Lit mol-1 K-1
d)8.314 erg K-1 mol-1

The universal gas constant R = 0.0821 atm.L.mol-1.K-1, equivalently 8.314 J.K-1.mol-1 or 8.314x10^7 erg.K-1.mol-1 (since 1 J = 10^7 erg). Option (a) states this correctly in atm.L units. Option (b) is wrong because it labels the value Joules, not erg -- 8.314x10^7 is only correct when the unit is erg. Option (d) gives the right unit (erg) but drops the x10^7 factor.

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