Find the quantity of heat required to increase the temperature of 960mg of O₂from 20°C to 45°C in a rigid container. The molar specific heat of O₂ at constant volume is 5cal/mol/K.

Solution

Mass of O₂ gas = 960mg = 0.96gm

Therefore the number of moles in 0.96gm of gas are,

n equals fraction numerator 0.96 over denominator 32 end fraction equals 0.03 space m o l e s

The amount of heat required is,

space space space space space space space space space space straight Q space equals nC subscript straight v increment straight T space space space space space space space space space space space space space space equals 0.03 cross times 5 cross times 25 space space space space space space space space space space space space space space space space equals 3.75 space cal.

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