FAVOURITE BALLOON

2. You are doing research on planet X and you take your favorite balloon with you. It is made of a new material that can shrink or expand without breaking. When the balloon is inside your space station where the temperature is 27 Degrees Celsius and the pressure is 0.925 atmospheres, it has a volume of 425 milliliters. One day the balloon drifts into the airlock and escapes out into the atmosphere. If planet X has a temperature of negative 105 Celcius and a pressure of 4.00 millimeter mercury, what volume will your balloon have on planet X?

Convert Celsius into kelvin by adding 273 degrees.
27 Degrees Celsius plus 273 degrees equals 300 kelvin.
Negative 105 degrees celcius plus 273 degrees equals 168 kelvin.
Convert 4 millimeters mercury into atmospheres by multiplying 1 atmosphere over 760 millimeters mercury.
4 millimeters mercury times 1 atmosphere over 760 millimeters mercury equals 5.26 times ten to the negative third atmospheres.

Use the equation PV over t equals PV over T.

0.925 atmospheres times 425 milliliters all over 300 kelvin equals 5.26 times 10 to the negative third times x all over 168 kelvin.

Solve for x by dividing 5.26 times 10 to the negative third over 168 kelvin from 0.925 atmospheres times 425 milliliters all over 300 kelvin.

All units except milliliters will cancel.

The answer is 4.19 times ten to the fourth milliliters.