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Papessa [141]
3 years ago
10

The gauge pressure in the tires of your car is 210 kPa (30.5 psi) when the temperature is 25°C (77 °F). Several days later it is

much colder. Use the ideal gas equation of state to estimate the gauge pressure in your tires, when the temperature is 0°C. Give your answer both in kilopascals (kPa) and pounds per square inch (psi). (Gauge pressure is the difference between absolute pressure and atmospheric pressure, which is ap- proximately 101.3 kPa.)
Physics
1 answer:
DaniilM [7]3 years ago
8 0

Under the assumption that the tires do not change in volume, apply Gay-Lussac's law:

P/T = const.

P = pressure, T = temperature, the quotient of P/T must stay constant.

Initial P and T values:

P = 210kPa + 101.325kPa

P = 311.325kPa (add 101.325 to change gauge pressure to absolute pressure)

T = 25°C = 298.15K

Final P and T values:

P = ?, T = 0°C = 273.15K

Set the initial and final P/T values equal to each other and solve for the final P:

311.325/298.15 = P/273.15

P = 285.220kPa

Subtract 101.325kPa to find the final gauge pressure:

285.220kPa - 101.325kPa = 183.895271kPa

The final gauge pressure is 184kPa or 26.7psi.

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Answer:

VB -  VA  =  - 33.4

Explanation:

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So

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Here v_a is the velocity at A with value 80 km/s = 80000 m/s

=>   KE_f  =  \frac{1}{2} (1.67*10^{-27}) * 80000^2

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     W  =   5.34 *10^{-18}  m/s

Now this workdone is also mathematically represented as

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Here  q =  1.60*10^{-19} C

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        V =   \frac{5.34 *10^{-18} }{1.60*10^{-19}}

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