350 calories of heat is added to a sample of nitrogen gas, and the temperature is increased by 89 degrees celsius. what is the mass of the sample of nitrogen gas?

For this we'll presume that you are either given, or can find the specific heat of Nitrogen gas. Then plug them in to Q = mC(delta T)

To find the mass of the sample of nitrogen gas, we can use the equation:

Q = mCΔT

Where:
Q is the heat added to the sample (350 calories)
m is the mass of the sample (what we want to find)
C is the specific heat of nitrogen gas
ΔT is the change in temperature (89 degrees Celsius)

To solve for the mass, we need to rearrange the equation:

m = Q / (CΔT)

Now, to calculate the mass, you will need to know the specific heat of nitrogen gas. The specific heat is the amount of heat energy required to raise the temperature of a unit mass of a substance by one degree Celsius.

Look up the specific heat of nitrogen gas (C) and substitute the values into the equation:

m = 350 calories / (C * 89 degrees Celsius)

Once you have the specific heat value, you can calculate the mass of the sample of nitrogen gas by dividing the amount of heat added by the product of the specific heat and the change in temperature.