Question

A car tyre has a pressure of 2.6 atm at 10°C. If the pressure inside
reaches 5 atm, the tyre will fail. How hot would the tyre have to get for
this to happen?

Answer 1

Answer:

T = 271.23 degree celcius

Explanation:

For the gas inside the tyre

PV = nRT

So, P is directly proportional to T.

$\frac{P_{1} }{P_{2} }$ = $\frac{T_{1} }{T_{2} }$

$\frac{2.6}{5}$ = $\frac{283}{T}$

T = 544.23 K = 271.23 degree celcius

So, Tyre have to get the temperature 271.23 degree celcius for this to happen.