A man heats a balloon in the oven. If the balloon initially has a volume of 0.4 liters and a temperature of 20 degrees celsius, what will the volume of the balloon be after he heats it to a temperature of 250 degrees celsius?

0.714 liter.

Explanation:

Given:

The balloon initially has a volume of 0.4 liters and a temperature of 20 degrees Celsius.

It is heated to a temperature of 250 degrees Celsius.

Question asked:

What will be the volume of the balloon after he heats it to a temperature of 250 degrees Celsius ?

Solution:

By using:

Assuming pressure as constant,

V∝ T

Now, let  K is the constant.

V = KT

Let initial volume of balloon , = 0.4 liter

1000 liter = 1 meter cube

1 liter =

0.4 liter =

And initial temperature of balloon, = 20°C = (273 + 20)K

                                                                          = 293 K

Let the final volume of balloon is

And a given, final temperature of balloon, is 250°C = (273 + 250)K

                                                                                          = 523 K

Now, =

=

Dividing equation 1 and 2,

K cancelled by K.

By cross multiplication:

Now convert it into liter with the help of calculation done above.

Therefore, the volume of the balloon be after he heats it to a temperature of 250 degrees Celsius is 0.714 liter.

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