CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

When a gas in enclosed in a closed vessel was heated so as to increase its temperature by $$ 25^o C $$ its pressure was seen to have increased by 10% The initial temperature of the gas was nearly


A
500C
loader
B
227C
loader
C
273C
loader
D
250C
loader

Solution

The correct option is D $$ 250^\circ C $$

Given,

Percentage increase in pressure is $$10$$%

Increase in temperature is $${{25}^{o}}C$$

For constant volume,

$$P\,\,\alpha \,T$$

$$\dfrac{{{P}_{2}}}{{{P}_{1}}}=\dfrac{{{T}_{2}}}{{{T}_{1}}}$$

$$\Rightarrow \dfrac{1.1{{P}_{1}}}{{{P}_{1}}}=\dfrac{\left( {{T}_{1}}+25 \right)}{{{T}_{1}}}$$

$$\Rightarrow {{T}_{1}}=\dfrac{25}{0.1}=250{{\,}^{o}}C$$

Hence, initial temperature is $${{250}^{o}}C$$


Physics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image