In an isothermal reversible expansion, if the volume of 96 g of oxygen at 27° C is increased from 70 litre to 140 litre, then the work done by the gas will be

Question

In an isothermal reversible expansion, if the volume of 96 g of oxygen at 27° C is increased from 70 litre to 140 litre, then the work done by the gas will be (A)  300 text R text log102  (B)  81 text R text loge2  (C)  900 text R text log102  (D)  2.3× 900 text R text log102

Tardigrade Admin · Accepted Answer

Work, W=nRT× 2.3× log 10(140/70) =2.3× (96/32)× R× 300× lg o102 =2.3× 900R log 102

Q. In an isothermal reversible expansion, if the volume of $96 g$ of oxygen at $2 7^{\circ} C$ is increased from $70$ litre to $140$ litre, then the work done by the gas will be

$300 R l o g_{10} 2$

$81 R l o g_{e} 2$

$900 R l o g_{10} 2$

$2.3 \times 900 R l o g_{10} 2$

Work, $W = n RT \times 2.3 \times lo g_{10} \frac{140}{70}$ $= 2.3 \times \frac{96}{32} \times R \times 300 \times l g o_{10} 2$ $= 2.3 \times 900 R lo g_{10} 2$

Q. In an isothermal reversible expansion, if the volume of 96g of oxygen at 27∘C is increased from 70 litre to 140 litre, then the work done by the gas will be

300Rlog10​2

81Rloge​2

900Rlog10​2

2.3×900Rlog10​2