Question

#5 If I have 20 liters of gas at a temperature of 67°C and a pressure of 88.89 atm, what will be the pressure of the gas if I raise the temperature to 94°C and decrease the volume to 12 liters?

#2 A gas takes up a volume of 15 liters, has a pressure of 2508 mmHg, and a temperature of 299 K. If I raise the
temperature to 350 K and lower the pressure to 1050 mmHg, what is the new volume of the gas?

#10 A gas sample contained in a cylinder equipped with a moveable piston occupied 300.0 mL at a pressure of 2.00
atm. What would be the final pressure if the volume were increased to 500.0 mL at constant temperature?

#12 The temperature of 200.0 mL of a gas originally at STP is changed to -25°C at constant volume. Calculate the
pressure of the gas in atm.

#8 If I have 3.9 L of gas at a pressure of 506.6 kPa and a temperature of 50.0°C, what will be the temperature of
the gas if I decrease the volume of the gas to 2.4 L and decrease the pressure to 303.0 kPa?

#4 A gas has a temperature of 14°C, and a volume of 5.5 liters. If the temperature is raised to 29°C and the pressure
is not changed, what is the new volume of the gas?

#11 A weather balloon is filled to the volume of 150.0 L on a day when the temperature is 10.0°C. If no gases
escaped, what would be the volume of the weather balloon after it rises to an altitude where the temperature is
-8.00°C?

Answer 1

Step-by-step explanation:

We shall use gas law as follows

P₁ V₁ / T₁ = P₂ V₂ / T₂

5 ) V₁ = 20 , P₁ = 88.89 , T₁ = 273+ 67 = 340 K .

V₂ = 12 , P₂ = ? , T₂ = 273+ 94 = 367 K .

88.89 x 20 / 340 = P₂ x 12 / 367

P₂ = 159.9 atm .

6 )

V₁ = ? , P₁ = .5 , T₁ = 325 K .

V₂ = 48 , P₂ = 900/760 = 1.184 , T₂ = 320 K .

V₁ x .5 / 325 = 48 x 1.184 / 320

V₁ = 115.44 litres .

7 )

V₁ = 21 , P₁ = 78 , T₁ = 800 K .

V₂ = ? , P₂ =45 , T₂ = 750 K .

21 x 78 / 800 = V₂ x 45 / 750

V₂ = 34.125 litres .

8 )

V₁ = 3.9 , P₁ = 5 x 10⁵ Pa , T₁ = 323 K .

V₂ = 2.4 , P₂ =3.03 x 10⁵Pa , T₂ = ? .

3.9 x 5 x 10⁵ / 323 = 2.4 x 3.03 x10⁵ / T₂

T₂ = 120.45 K

= -152.54⁰C .

9 )

V₁ = ? , P₁ = 60 , T₁ = 115 K .

V₂ = 25 , P₂ =30 , T₂ = 225.

V₁ x 60 / 115 = 25 x 30 / 225

V₁ = 6.39 litre .