A tire is filled to a gauge pressure of 2 atm at 27 degrees Celsius after a drive the temperature within the tire rises to 47 degrees celsius. What is the pressure within the tire now

2.13atm

Explanation:

The following information were obtained from the question:

P1 (initial pressure) = 2atm

T1 (initial temperature) = 27°C = 27 + 273 = 300K

T2 (final temperature) = 47°C = 47 + 273 = 320K

P2 (final pressure) =?

Using the equation P1/T1 = P2/T2, the final pressure within the tyre can be obtained as illustrated below:

P1/T1 = P2/T2

2/300 = P2/320

Cross multiply to express in linear form

300 x P2 = 2 x 320

Divide both side by 300

P2 = (2 x 320)/300

P2 = 2.13atm

Therefore, the pressure within the tyre at 47°C is 2.13atm

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