SOLUTION: The gas inside the tire has a volume of 20.00 L at a pressure of 5.00 atm. Calculate the pressure of the gas if its volume is reduced to 10.0 at the same temperature.

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Question 1196300: The gas inside the tire has a volume of 20.00 L at a pressure of 5.00 atm. Calculate the pressure of the gas if its volume is reduced to 10.0 at the same temperature.
Found 2 solutions by ikleyn, amoresroy:
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
The gas inside the tire has a volume of 20.00 L at a pressure of 5.00 atm.
Calculate the pressure of the gas if its volume is reduced to 10.0 highlight%28L%29 at the same temperature.
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If the volume reduces twice slowly at constant temperature,

then the pressure increases twice from 5.00 atm to 10.00 atm,


    (if the tire will not burst before it)


Boyle's law. See this Wikipedia article

https://en.wikipedia.org/wiki/Boyle%27s_law#:~:text=Or%20Boyle's%20law%20is%20a,the%20temperature%20is%20held%20constant.



Answer by amoresroy(361) About Me  (Show Source):
You can put this solution on YOUR website!
PV = k Pressure multiplied by volume equals some constant k
where P is the pressure of the gas, V is the volume of the gas, and k is a constant.
The equation says that the product of pressure and volume is a constant for a given volume of confined gas and this holds as long as the temperature is constant. For comparing the same substance under two different sets of conditions, the law can be usefully expressed as:

P1V1 = P2V2
Given:
P1 = 5atm
V1 = 20.00 liters
V2 = 10.00 liters
P2= ?
Substitute to calculate P2
5(20) = 10(P2)
P2 = 100/10
P2 = 10 atm
Answer:
The pressure of the gas is 10 atm if volume is reduced to 10.0 liters at the same temperature.