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love history [14]
3 years ago
11

the guage pressure in a car tire is 30.0 psi when the air temperature is 0 C as the day warms up and brighten sun shines What is

the tire(gauge) pressure at this temperature
Physics
1 answer:
Viktor [21]3 years ago
3 0

Answer:

P_2 = 33.297\ psi

Explanation:

give,

Gauge pressure of car, P₁ = 30 psi

temperature,T₁ = 0° C = 0 + 273 = 273 K

Assuming temperature at the noon = 30° C

       T₂ = 30 + 273 = 303 K

 Pressure at this temperature, P₂ = ?

Using ideal gas equation

\dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2}

taking volume as in compressible  V₁ = V₂

\dfrac{P_1}{T_1}=\dfrac{P_2}{T_2}

\dfrac{30}{273}=\dfrac{P_2}{303}

P_2 = 303\times \dfrac{30}{273}

P_2 = 33.297\ psi

Hence, Pressure of the at 30°C is equal to 33.297 psi.

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