What is the effect of the following on the volume of 1 mol of an ideal gas? The temperature changes from 305 K to 32°C and the pressure changes from 2 atm to 101 kPa.
A. Volume increases by 200%
B. Volume decreases to 50% of its original value
C. Volume decreases by 100%
D. Volume increases by 100%
E. Volume does not change

Respuesta :

Answer:

The volume increases by 100%.

Explanation:

Step 1: Data given

Number of moles ideal gas = 1 mol

Initial temperature = 305 K

Final temperature = 32°C + 273.15 = 305.15 K

Initial pressure = 2 atm

final pressure = 101 kPa = 0.996792 atm

R = gasconstant = doesn't change

V1 = initial volume

V2= the final volume

Step 2: Calculate volume of original gas

P*V = n*R*T

(P*V)/ T = constante

(P1 * V1) / T1 = (P2 * V2)/ T2

In this situation we have:

(2atm * V1)/ 305  = (0.996792 *V2) / 305.15

0.006557*V1 = 0.003266*V2

V2 = 2*V1

We see that the final volume is twice the initial volume. So the volume gets doubled. The volume increases by 100%.

Volume increases by 100% under the conditions mentioned in the question.

What is an Ideal gas?

This is the gas in which all collisions between atoms or molecules are perfectly elastic and in which there are no intermolecular attractive forces

PV = nRT

(P1 V1) / T1 = (P2 V2)/ T2

(2atm × V1)/ 305  = (0.996792×V2) / 305.15

0.006557×V1 = 0.003266×V2

V2 = 2V1

Therefore we can conclude that the volume doubled and increased by 100%.

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