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Question

The tyre of a motor car contains air at 15 degree Celsius, if the temperature increases to 35 degree celsius, the approximate percentage increase in pressure is (ignore to expansion of tyre):


A
9
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B
11
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C
13
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D
7
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Solution

The correct option is A $$7$$
in adiabatic process relation between P and T:

$$P\propto T$$

$$\dfrac{\Delta P}{P}\times 100=\dfrac{\Delta T}{T}\times 100$$

$$T_{1}= 288K$$ and $$T_{2}= 308K$$

Percentage increment in pressure:

$$\dfrac{\Delta P}{P}\times 100= \dfrac{T_{2}-T_{1}}{T_{1}}\times 100$$

$$\% P= \dfrac{308-288}{308}\times 100$$

$$\% P=7$$

Physics

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