I'm having trouble trying to figure out how to setup and solve these problems:
1) 2,600.0 mL of air is at 20.0C. What is the volume at 60.0C?
2) A gas occupies 900.0 mL at a temperasture of 27.0C. What is the volume at 132.0C?
3) What change in volume results if 60.0 mL of gas is cooled from 33.0C to 5.00C?
4) Given 300.0 mL of a gas at 17.0C. What is its volume at 10.0C?
5) A gas occupies 1.00 L. What is the volume at 333.0C?
these are (p*v)/t problems
p=pressure
v=volume
t=temperature (in kelvin)
it doesnt mention pressures in these problems so we assume it remains constant.
the problems should be set up as:
(Volume of initial)/(temp. of initial) = (volume of final)/(temp. of final)
plug in and solve for the missing piece
To solve these problems, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature in Kelvin.
To convert temperatures from Celsius to Kelvin, you can use the formula T(K) = T(C) + 273.15.
Let's go through each problem step by step:
1) In this problem, we want to find the volume at 60.0C given the volume at 20.0C.
Step 1: Convert the temperatures to Kelvin using the formula T(K) = T(C) + 273.15:
T1 = 20 + 273.15 = 293.15K
T2 = 60 + 273.15 = 333.15K
Step 2: Set up the equation using the ideal gas law:
P1 * V1 / T1 = P2 * V2 / T2
Since the pressure and amount of gas remain constant, you can simplify the equation to:
V1 / T1 = V2 / T2
Step 3: Solve for V2:
V2 = (V1 * T2) / T1
2) In this problem, we are given the volume at 27.0C and want to find the volume at 132.0C.
Follow the same steps as in problem 1, but use the given temperatures and solve for V2.
3) For this problem, we want to find the change in volume when the gas is cooled from 33.0C to 5.00C.
Step 1: Convert the temperatures to Kelvin.
Step 2: Set up the equation using the ideal gas law as in problem 1:
V1 / T1 = V2 / T2
Step 3: Solve for the change in volume (V2 - V1).
4) In this problem, we are given the volume at 17.0C and want to find the volume at 10.0C.
Follow the same steps as in problem 1, but use the given temperatures and solve for V2.
5) For this problem, we want to find the volume at 333.0C.
Step 1: Convert the temperature to Kelvin.
Step 2: Set up the equation using the ideal gas law as in problem 1:
V1 / T1 = V2 / T2
Since the temperature and amount of gas remain constant, you can simplify the equation to:
V1 = V2 / T2
Step 3: Solve for V2.