Question

A balloon occupies a volume of 2.0 L at 40°C.
How much volume will it occupy at 30°C?
A. 1.5 L
B. 1.94 L
C. 1.6 L

Answer 1

Explanation:

B) 1.94L is the correct answer

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Answer 2

Given:

A balloon occupies a volume of 2.0 L at 40°C.

To find:

The volume was occupied at 30°C.

Solution:

According to the ideal gas law, we know that PV=nRT

At constant composition and pressure, volume is proportional to T.

Thus we can write-

V1T2=V2T1

Where V1 is the initial volume=2.0L.

V2 is the final volume=xL.

T1 is the initial temperature is equal to 40+273=313K.

T2 is the final temperature is equal to 30+273=303K.

Thus we can write-

$2.0 \times 303 = x \times 313 \\ x = \frac{303}{313} \times 2.0 \\ x =1.9$

The balloon occupies a volume of 1.94L.

Hence the correct option is B.