When 0.0500 moles of HCL is reacted with 0.0500 moles of NaOH in 50.0 mL of water, the temperature of the water increases by 13.7 degrees C. Caclulate the heat for this reaction in terms of joules per mole of HCl. The heat capacity of the system is 209.2 joules per degree centigrade.
mass H2O x specific heat x delta T = joules heat evolved per 0.05 mol HCl. Convert to J/mol. Centigrade? That went out of use several years ago. It is now Celsius.
To calculate the heat for this reaction in terms of joules per mole of HCl, we can use the formula:
q = mCΔT
Where:
q = heat (in joules)
m = moles of HCl
C = heat capacity of the system
ΔT = change in temperature
Given:
moles of HCl = 0.0500 moles
change in temperature = 13.7 degrees C
heat capacity = 209.2 joules per degree centigrade
Let's plug in the given values into the formula:
q = (0.0500 moles) * (209.2 joules per degree centigrade) * (13.7 degrees C)
Now let's calculate the heat:
q = 0.68574 joules
Therefore, the heat for this reaction, in terms of joules per mole of HCl, is approximately 0.68574 joules.
To calculate the heat for this reaction in terms of joules per mole of HCl, we can use the formula:
q = m * C * ΔT,
where:
q is the heat in joules,
m is the moles of HCl,
C is the heat capacity of the system, and
ΔT is the change in temperature.
In this case, we are given the moles of HCl (0.0500 moles), the change in temperature (13.7 °C), and the heat capacity of the system (209.2 joules/°C).
Let's plug in the given values into the formula:
q = (0.0500 moles) * (209.2 joules/°C) * (13.7 °C).
First, we need to convert the units from °C to kelvin (K) since the SI unit for temperature is kelvin.
ΔT = 13.7 °C = 13.7 K
Now, let's substitute the values into the formula and calculate:
q = 0.0500 * 209.2 * 13.7.
q = 143.34 joules.
Therefore, the heat for this reaction in terms of joules per mole of HCl is 143.34 joules.