In a certain thermodynamical process, the pressure of a gas depends on its volume as k V 3 . The work done when the temperature changes from 100   ° C to 300   ° C will be x n R where n denotes number of moles of a gas find x ;

Question

In a certain thermodynamical process, the pressure of a gas depends on its volume as k V 3 . The work done when the temperature changes from 100 &#160; &#176; C to 300 &#160; &#176; C will be x n R where n denotes number of moles of a gas find x ;

Aicharya · Accepted Answer

P = k V 3 T i = 100 &#160; &#176; C &#160; &#38; &#160; T f = 300 &#160; &#176; C &#916; T = 300 - 100 &#916; T = 200 &#160; &#176; C P = k V 3 now P V = n R T &#8756; &#160; k V 4 = n R T now 4 k V 3 d V = n R d T &#8756; &#160; &#160; P d V = n R d T / 4 &#8756; Work = &#8747; P d V = &#8747; n R d T 4 = n R 4 &#916; T = 200 4 &#215; n R = 50 n R

In a certain thermodynamical process, the pressure of a gas depends on its volume as k V 3 . The work done…

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