Question

a chemical reaction takes place inside a flask submerged in a water bath. the water bath contains 7.90 kg of water at 29.4 c. during the reaction 134 kj of heat flows out of the flask and into the bath. calculate the new temperature of the water bath. you can assume the specific heat capacity of water under these conditions is 4.18 j g k. round your answer to significant digits.

Answer 1

To calculate the new temperature of the water bath, use the formula q = m * c * ΔT. Convert the mass of water from kg to grams. Substituting the given values into the formula, the new temperature is approximately 25.06°C.

Step-by-step explanation:

To calculate the new temperature of the water bath, we can use the formula q = m * c * ΔT, where q is the heat transferred, m is the mass of the water, c is the specific heat capacity, and ΔT is the change in temperature.

Given that the water bath contains 7.90 kg of water, we need to convert this to grams: 7.90 kg * 1000 g/kg = 7900 g.

Using the formula, we can calculate the change in temperature: 134 kJ = 7900 g * 4.18 J/g°C * ΔT. Solving for ΔT, we find that the change in temperature is approximately 4.34°C.

The initial temperature of the water bath is 29.4°C, so the new temperature can be found by subtracting the change in temperature: 29.4°C - 4.34°C = 25.06°C.

Therefore, the new temperature of the water bath is approximately 25.06°C.