Question

After raising the temperature of a balloon filled with 600 ml of air from 27 degrees Celsius to 77 degrees Celsius, what is the new volume?

a) 750 ml
b) 800 ml
c) 850 ml
d) 900 ml

Answer 1

To find the new volume of the balloon, we can use the ideal gas law.

Step-by-step explanation:

To solve this problem, we can use the ideal gas law, which states that PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.

First, we need to convert the temperatures from Celsius to Kelvin. To do this, we add 273 to each temperature. So, 27 degrees Celsius becomes 300 Kelvin and 77 degrees Celsius becomes 350 Kelvin.

Next, we use the formula to solve for the new volume. We can assume that the pressure and number of moles remain constant. Therefore, we have:

600 ml x (350 K / 300 K) = 700 ml

Therefore, the new volume of the balloon is 700 ml.