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asambeis [7]
3 years ago
5

20 cubic inches of a gas with an absolute pressure of 5 psi is compressed until its pressure reaches 10 psi. What's the new volu

me of the gas? (Assume that there's no change in temperature.)
A. 100 cubic inches
B. 10 cubic inches
C. 40 cubic inches
D. 5 cubic inches

The correct answer is B) 10 cubic inches
Physics
2 answers:
boyakko [2]3 years ago
8 0

It is given that that initial volume of gas is 20 cubic inches.

The initial pressure is given as 5 psi.

The final pressure is given as 10 psi

We are asked to calculate the final volume.

Let initial and final volume of gas is denoted as v_{1} \ and\ v_{2}

Let the initial and final pressure of gas is denoted as p_{1} \ and\ p_{2}

As per the question the temperature of a gas is constant.

From Boyle's law we know that pressure of a given mass of a gas is inversely proportional to the applied volume at constant temperature.

Hence mathematically

                                p\ \alpha\ \frac{1}{v}

                                pv=constant

                                p_{1} v_{1} =p_{2} v_{2}

                                v_{2} =\frac{p_{1}v_{1} }{p_{2} }

Putting the values of these respective quantities as mentioned above we get-

                                  v_{2} =\frac{5\ psi*20 cubic\ inches}{10\ psi}

                                         =10\ cubic\ inches        [ans]    


Mekhanik [1.2K]3 years ago
4 0
PoVo = PfVf    Vf=PoVo/Pf  = 5*20/10 = 100/10 = 10 cubic inches
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