Question

determine which of the following relationships correctly depict the relationship between pressure and volume for a fixed amount of gas at constant temperature according to Boyle’s law.

Check all that apply.

Check all that apply.

PV∝P

P∝1V

PV∝V

V∝P

V∝1P

P∝V

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Part B

Standard temperature and pressure (STP) are considered to be 273 K and 1.0 atm. Predict which of the following changes will cause the volume of the balloon to increase or decrease assuming that the temperature and the gas filling the balloon remain unchanged.

Drag the appropriate items to their respective bins.

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Part C

A certain gas is present in a 12.0 L cylinder at 3.0 atm pressure. If the pressure is increased to 6.0 atm the volume of the gas decreases to 6.0 L . Find the two constants ki, the initial value of k, and kf, the final value of k, to verify whether the gas obeys Boyle’s law.

Express your answers to two significant figures separated by a comma.

ki, kf =

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Part D

If a certain gas occupies a volume of 18 L when the applied pressure is 9.0 atm , find the pressure when the gas occupies a volume of 4.5 L .

Express your answer to two significant figures and include the appropriate units.

Answer 1

Part A

According to Boyle's law, at a constant temperature for a fixed mole gas, pressure and volume have inverse relation.

That is:

P 1/ V   or V 1/ P

Hence, 2nd and 5th option are correct.

Part C.

Initial volume, Vi = 12.0 L

Initial Pressure, Pi = 3 atm

Constant, Ki = Pi * Vi

= 3 * 12

= 36

Final Volume, Vf = 6.0 L

Final Pressure, Pf = 6 atm

Constant, Kf = Pf * Vf

= 6 * 6

= 36

Since, Ki = Kf

The gas obeys Boyle’s law.

Part D.

Initial Volume, Vi = 18 L

Initial Pressure, Pi = 9.0 atm

Final Volume, Vf = 4.5 L

We know that,

Pi * Vi = Pf * Vf

9 * 18 = Pf * 4.5

Pf = 36 atm

Hence, final pressure = 36 atm.