Farmer Jonson is putting together vegetable baskets. He has 270 carrots and 180 beets. What is the largest number of baskets he
can put together so that he can have the same number of carrots in each basket and the same number of beets in each basket? (Hint: to be able to distribute 180 beets into baskets equally, the number of baskets must be a factor of 180. Likewise, in order to be able to distribute the 270 carrots into the same number of baskets equally, the number of baskets must also be a factor of 270.)
The formula tells you .. V = constant * T/P That is, volume is proportional to absolute temperature and inversely proportional to pressure. When temperature increases from 273 K to 300 K, volume is increased by the factor 300/273.
When pressure increases from 2 atm to 3 atm, volume is changed by the factor 2/3.
The new volume will be .. (10 L) * (300/273) * (2/3) = 2000/273 L ≈ 7.3 L
