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Ideal Gas Law

Authored by Mr Boyle

Chemistry

5th Grade

Used 45+ times

Ideal Gas Law
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13 questions

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1.

FILL IN THE BLANKS QUESTION

5 mins • 15 pts

1.5 moles of nitrogen gas is kept at a temperature of 30 °C and 50 kPa of pressure. What volume does the gas occupy? Give your answer to 2 d.p.

[Gas constant = 8.314 J mol-1 K-1]

(a)  

Answer explanation

1) pV = nRT, rearrange to solve for volume: V = nRT/p

2) Convert 30 °C to kelvin: 30 + 273 = 303 K

3) Insert values: V = (1.5 x 8.314 x 303) / 50

4) V =75.57 L

2.

FILL IN THE BLANKS QUESTION

5 mins • 15 pts

2.2 moles of gas is kept at 400 kPa and -70 °C. What is the volume of this container? Give your answer to 2 d.p.

[Gas constant = 8.314 J K-1 mol-1]

(a)  

Answer explanation

1) Rearrange pV = nRT to solve for V: V = nRT/p

2) Convert °C to Kelvin by adding 273: 273 + -70 = 203 K

3) Insert values to equation:

V = (2.2 x 8.314 x 203) / 400

4) V = 9.28 L

3.

FILL IN THE BLANKS QUESTION

5 mins • 15 pts

What volume is occupied by 0.02 moles of gas at 500 K and 150 kPa of pressure?

Give your answer to 2 s.f.

[Gas constant = 8.314 J K-1 mol-1]

(a)  

Answer explanation

1) Rearrange pV = nRT to solve for volume: V = nRT/p

2) Insert values into equation:

V = 0.02 x 8.314 x 500 / 150

3) V = 0.055 L

4.

FILL IN THE BLANKS QUESTION

5 mins • 15 pts

What pressure is exerted by 3 moles of gas stored in a 1 litre balloon at 45 °C? Give your answer to 1 d.p.

[Gas constant R = 8.314 J K-1 mol-1]

(a)  

Answer explanation

1) Rearrange equation to solve for pressure: p = nRT/V

2) Convert °C to K by adding 273: 45 + 273 = 318 K

3) Insert values into equation:

p = (3 x 8.314 x 318) / 1

4) p = 7931.556 -> 7931.6 kPa

5.

FILL IN THE BLANKS QUESTION

5 mins • 15 pts

What pressure is exerted by 0.33 moles of gas inside a 0.4 dm3 container at 25 °C?

[Gas constant R = 8.314 J K-1 mol-1]

(a)  

Answer explanation

1) Rearrange equation to solve for pressure: p = nRT/V

2) Convert °C to K by adding 273: 273+25 = 298 K

3) Insert values into equation:

p = 0.33 x 8.314 x 298 / 0.4

4) p = 2043.975 kPa

6.

FILL IN THE BLANKS QUESTION

5 mins • 15 pts

What pressure is exerted by 0.015 moles of gas inside a 2.0 dm3 container at -20 °C? Give your answer to 2 s.f.

[Gas constant R = 8.314 J K-1 mol-1]

(a)  

Answer explanation

1) Rearrange equation to solve for p: p = nRT/V

2) Convert °C to K by adding 273: -20 + 273 = 253 K

3) Insert values into equation:

p = 0.015 x 8.314 x 253 / 2

4) p = 15.775 kPa

5) p = 16 kPa (2 s.f.)

7.

FILL IN THE BLANKS QUESTION

5 mins • 15 pts

A 1.5 L container of gas has a pressure of 30 kPa and a temperature of 10 °C. How many moles are within the container? Give your answer to 3 s.f.

[Gas constant R = 8.314 J K-1 mol-1]

(a)  

Answer explanation

1) Rearrange pV = nRT to solve for n:

n = pV/RT

2) Convert °C to K by adding 273:

10 + 273 = 283 K

3) Insert values into equation:

n = 30 x 1.5 / 8.314 x 283

4) n = 0.0191 moles (3 s.f.)

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