JEE Main · 2021 · 25 Feb 2021 · Shift 1 · States of Matter

A car tyre is filled with nitrogen gas at 35 psi at

2 7^{\circ} C

. It will burst if pressure exceeds 40 psi. The temperature in

^{\circ} C

at which the car tyre will burst is _____ (Rounded-off to the nearest integer)

Answer: 70

Solution

The tyre holds a fixed amount of nitrogen in a fixed volume, so pressure and absolute temperature rise together:

\frac{P _{1}}{T _{1}} = \frac{P _{2}}{T _{2}}

With

P_{1} = 35

psi,

T_{1} = 300

K and

P_{2} = 40

psi,

T_{2} = \frac{40 \times 300}{35} = 342.86 K

Converting back,

342.86 - 273 = 69.86

, so the tyre bursts at 70 degrees Celsius.

JEE Main · 2021 · 25 Feb 2021 · Shift 1 · Integer answer

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