Question

The correct inflation of a tyre at 20°C is 2 kg/ cm². After driving several hours the driver checks the tyre. If the tyres temperature is 50°C, What should be the pressure reading?

Answer 1

Answer:

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Answer 2

The pressure reading is 2.2 kg cm².

Given :

Pressure of tyre at 20°C is 2 kg/ cm².

We need to find the pressure on the same tyre in 50°C .

Now , also volume of tyre is constant .

Therefore , $\dfrac{P_1}{T_1}=\dfrac{P_2}{T_2}$

Putting the value $P_1,T_1\ and \ T_2$ in above equation Temperature be in Kelvin .

$\dfrac{2}{20+273}=\dfrac{P_2}{50+273}\\\\P_2=\dfrac{2\times 323}{293}\\\\P_2=2.2\ kg/cm^2$

Hence , this is the required solution .

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Thermodynamics

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