CBSE Class 11-science Answered

Differentiate

PV^gamma= constant

Where it means P multiplied by (V To the power gamma)

Asked by ppratim02 | 29 Jan, 2016, 06:52: PM

Expert Answer

begin mathsize 11px style You space have space not space specified space the space vari a ble space with space respect space to space which space differentiation space has space to space be space done. Assuming space that space it space has space to space be space differentiated space with space respect space to space apostrophe straight V apostrophe comma space the space steps space are space shown space below. straight d over dV open parentheses PV to the power of straight gamma close parentheses equals straight P cross times straight d over dV open parentheses straight V to the power of straight gamma close parentheses plus straight V to the power of straight gamma cross times straight d over dV open parentheses straight P close parentheses space left parenthesis using space product space rule right parenthesis rightwards double arrow straight d over dV open parentheses PV to the power of straight gamma close parentheses equals straight P cross times γV to the power of straight gamma minus 1 end exponent plus straight V to the power of straight gamma cross times dP over dV rightwards double arrow straight d over dV open parentheses PV to the power of straight gamma close parentheses equals γPV to the power of straight gamma minus 1 end exponent plus straight V to the power of straight gamma dP over dV end style

Answered by satyajit samal | 31 Jan, 2016, 03:32: PM

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