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 nitrogen sample in cal/gram Celsius?
Mass is measured in grams, not cal/gram celsius. Specific heat is measured in cal/g*C. .
q = mass x specific heat x delta T. Look up specific heat for N2 gas, substitute 89 for delta T and 350 cal for q1, calculate mass in grams.
so if I am given the specific heat of 0.25 cal/g*C, then would my answer be
1.25 x 10^5 grams?
Not on my calculator.
350 = mass x 0.25 x 89
mass = [350/(0.25*89)] = about 16 or so grams.
To find the mass of the nitrogen sample in cal/gram °C, we need to use specific heat capacity.
The specific heat capacity (C) is the amount of energy required to raise the temperature of a substance by 1 gram through 1 degree Celsius. For nitrogen gas, the specific heat capacity is 0.243 cal/gram °C.
We are given that 350 calories of heat is added to the nitrogen gas and the temperature is increased by 89 degrees Celsius. We can use the formula:
Q = m * C * ΔT
Where:
Q = Heat energy added (in calories)
m = Mass of the sample (in grams)
C = Specific heat capacity (in cal/gram °C)
ΔT = Change in temperature (in °C)
Rearranging the formula to solve for mass (m), we have:
m = Q / (C * ΔT)
Plugging in the given values:
m = 350 cal / (0.243 cal/gram °C * 89 °C)
Calculating:
m = 350 / (0.243 * 89)
m ≈ 1.634 grams (rounded to three decimal places)
Therefore, the mass of the nitrogen sample is approximately 1.634 grams in cal/gram °C.