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podryga [215]
3 years ago
7

12.70 L of a gas has a pressure of 0.63 atm. What is the volume of the gas at 105kPa?

Chemistry
2 answers:
Zielflug [23.3K]3 years ago
6 0

Answer: 7.693 L

Explanation:

To calculate the new volume, we use the equation given by Boyle's law. This law states that pressure is directly proportional to the volume of the gas at constant temperature.

The equation given by this law is:

P_1V_1=P_2V_2

where,

P_1\text{ and }V_1 are initial pressure and volume.

P_2\text{ and }V_2 are final pressure and volume.

We are given:

P_1=0.63atm\\V_1=12.70L\\P_2=105kPa=1.04atm(1kPa=0.009atm)\\V_2=?

Putting values in above equation, we get:

0.63\times 12.70mL=1.04\times V_2\\\\V_2=7.693L

Thus new volume of the gas is 7.693 L

miskamm [114]3 years ago
5 0

Answer:

7.72 L

Explanation:

<em>The volume of the gas at 105 kPa would be 7.72 L.</em>

First, let us convert the pressures into the same unit.

1 kPa = 0.00986923 atm

105 kPa = 105 x 0.00986923 = 1.0363 atm

From Boyle's law, the volume of gas is inversely proportional to the pressure of the gas. Mathematically;

P_1V_1 = P_2V_2

In this case, P_1 = 0.63, V_1 = 12.70, P_2 = 1.0363, V_2 = ?

<em>Make </em>V_2<em> the subject of the formula;</em>

V_2 = \frac{P_1V_1}{P_2}

Hence,

V_2 = 0.63 x 12.70/1.0363

     = 7.72 L

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