A car tyre is filled with nitrogen gas at 35 psi at 27 ° C . It...

A car tyre is filled with nitrogen gas at

35

psi at

27 ° C

. It will burst if pressure exceeds

40

psi. The temperature in

C ∘

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

Correct answer

Step-by-step solution

P ∝ T $$ \dfrac{{P}_{2}}{{P}_{1}} = \dfrac{{T}_{2}}{{T}_{1}} ⇒ \dfrac{40}{35} = \dfrac{{T}_{2}}{300} $$ {T}_{2} = 342 . 857K $$ = 69 . 70 ° C ≃ 70 ° C $Hence answer is \left(70\right)$

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