A gas expands in a piston-cylinder device from volume V1 to V2- the process being described by P-a-V-b- a and b are constants- Find work done in the process in joule a-10J- b-2-1 Nm-2- V1-1m3- V2-2m3

p= a / v +b a=10J, b=2.1N/ m^ 2 V_ 1 =1 m^ 3 V_ 2 =2 m^ 3 woak done=alog _ e #160; [ V_ 2 / V_ 1 #160; ] +b( v_ 2 v_ ...

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Standard XII

Physics

Electric Field Due to Charge Distributions - Approach

A gas expands...

Question

A gas expands in a piston-cylinder device from volume $V_{1}$ to $V_{2}$ , the process being described by $P = \frac{a}{V} + b$ , a and b are constants. Find work done in the process in joule (a=10J, b=2.1 $N m^{- 2}$ , $V_{1} = 1 m^{3}$ , $V_{2} = 2 m^{3}$ )

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Solution

$\begin{matrix} p = \frac{a}{v} + b a = 10 J, b = 2.1 N / m^{2} V_{1} = 1 m^{3} V_{2} = 2 m^{3} w o a k d o n e = a {log}_{e} [\frac{V_{2}}{V_{1}}] + b (v_{2} - v_{1}) = 10 {log}_{e}^{2} + 2.1 (1) = 10 \times 2.718 \times 0.30 + 2 = {10.154}^{3} \end{matrix}$

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A gas expands in a piston-cylinder device from volume V1 to V2, the process being described by P=aV+b, a and b are constants. Find work done in the process in joule (a=10J, b=2.1 Nm−2, V1=1m3, V2=2m3)

p=av+ba=10J,b=2.1N/m2V1=1m3V2=2m3woakdone=aloge[V2V1]+b(v2−v1)=10log2e+2.1(1)=10×2.718×0.30+2=10.1543

A gas expands in a piston-cylinder device from volume $V_{1}$ to $V_{2}$ , the process being described by $P = \frac{a}{V} + b$ , a and b are constants. Find work done in the process in joule (a=10J, b=2.1 $N m^{- 2}$ , $V_{1} = 1 m^{3}$ , $V_{2} = 2 m^{3}$ )

$\begin{matrix} p = \frac{a}{v} + b a = 10 J, b = 2.1 N / m^{2} V_{1} = 1 m^{3} V_{2} = 2 m^{3} w o a k d o n e = a {log}_{e} [\frac{V_{2}}{V_{1}}] + b (v_{2} - v_{1}) = 10 {log}_{e}^{2} + 2.1 (1) = 10 \times 2.718 \times 0.30 + 2 = {10.154}^{3} \end{matrix}$