Mathematics: The product of two consecutive positive even integers is 360

The product of two consecutive positive even

Ответ:

daisa02

27.09.2022

The resulting pressure of the air in the cylinder is 4 atmosphere.

Step-by-step explanation:

Given : If a tire pump whose cylinder has a volume of 2.0 liters at 1 atmosphere of pressure compresses the air to a volume of 0.50 liters without releasing any of the air.

To find : What is the resulting pressure of the air in the cylinder?

Solution :

Let P_1 and V_1 represent the pressure and volume of the gas at an initial state .

P_2 and V_2 represent the pressure and volume of the gas at an final state .

According to Boyle's Law,

P_1V_1=P_2V_2

Substitute, $P_1=1\ atm,\ V_1=2\ l,\ V_2=0.50\ l$

$1\times 2=P_2\times 0.50$

$P_2=\frac{2\ l}{0.50\ l}\times 1\ atm$

$P_2=4\ atm$

Therefore, the resulting pressure of the air in the cylinder is 4 atmosphere.

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The product of two consecutive positive even integers is 360

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