What is the volume of a gas at standard temperature if the gas occupies 3.65L  at 25 Celsius?

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The standard conditions in chemistry refer to a temperature of 273 K or 0 Celsius and a pressure if 1 atm.

Here the volume of the gas at 25 Celsius is 3.65 l. Use the Ideal Gas Law which gives P*V = n*R*T where P is the pressure, V is the volume, n is the number of moles of the gas, R is a constant and T is the temperature.

Here we know V = 3.65 at 298 K

P*3.65 = n*R*298

=> 3.65/298 = n*R/P = a constant which we can denote by k

At the standard temperature of 273 K, let the volume be V

V/273 = k = 3.65/298

=> V = 3.65*273/298

=> V = 3.343

The volume of the gas at standard temperature is 3.343 l

giorgiana1976's profile pic

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

This problem could be solve using Charles' Law:

V1/T1 = V2/T2

Let the volume to be determined be x.

Since the temperatures are given in Kelvin scale, we'll have to convert 25 Celsius into Kelvin.

T1 = 25 + 273

T1 = 298 K

Now, we'll replace all we know in Charles' Law:

3.65L/298K = x/273K

273 K is the standard temperature.

We'll cross multiply and we'll get:

3.65L*273K = x*298K

x = 3.65L*273K/298K

x = 3.3437L

The requested volume of gas, at standard temperature, is of 3.3437L.

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