Question

A canister of acetylene has a volume of 42 L. The temperature of the acetylene is 305 K and the pressure is 780 torr. Determine the amount of gas in the canister

Answer 1

To determine the amount of gas in the canister, use the ideal gas law equation PV = nRT. Convert the temperature from Kelvin to Celsius and rearrange the equation to solve for n. Substituting the values, there are 1.39 moles of acetylene gas in the canister.

Step-by-step explanation:

To determine the amount of gas in the canister, we can use the ideal gas law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.

First, convert the temperature from Kelvin to Celsius by subtracting 273.15: 305 K - 273.15 = 31.85 °C.

Now, we can rearrange the ideal gas law equation to solve for n: n = (PV) / (RT).

• P = 780 torr = 780 mmHg, convert to atm by dividing by 760: 780 mmHg / 760 = 1.026 atm.
• V = 42 L
• R = 0.0821 L·atm/mol·K
• T = 31.85 °C + 273.15 = 305 K

Substituting the values into the equation, we get: n = (1.026 atm * 42 L) / (0.0821 L·atm/mol·K * 305 K) = 1.39 moles.

Therefore, there are 1.39 moles of acetylene gas in the canister.

Answer 2

First, we need to assume acetylene to adapt an ideal gas behavior. So, we can use the Ideal Gas Law:

PV = nRT

Given:

V = 42 L
T = 305 K
P = 780 torr = 1.026 atm
R = gas constant, 0.0821 L atm/ mol K
n = amount of gas in the canister

1.026 atm * 42 L = n * 0.0821 L atm/mol K * 305 K

n = 1.72 moles of gas