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A cylinder containing one gram molecule of the gas was compressed adiabatically until its temperature rose from 27°C to 97°C. Calculate the work done and heat produced in the gas (𝛾 = 1.5).

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प्रश्न

A cylinder containing one gram molecule of the gas was compressed adiabatically until its temperature rose from 27°C to 97°C. Calculate the work done and heat produced in the gas (𝛾 = 1.5).

योग
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उत्तर

T1 = 27° C = 273 + 27 = 300 K

When gas is compressed adiabatically, work done on the gas is given by

`W = R/(1-γ) (T_2 - T_1) = (8.3xx(370-300))/(1-1.5)`

or W = −11.62 × (102 J)

Heat produced,

`H = W/J = (11.62xx10^2)/4.2`

= 276.7 cal

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अध्याय 4: Thermodynamics - Short Answer II

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