Question

A chemical reaction takes place inside a flask submerged in a water bath. The water bath contains 9.40kg of water at 24.2°C. During the reaction 85.2kJ 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−1K−1. Round your answer to 3 significant digits.
°C

Answer 1

The new temperature of the water bath after the chemical reaction is 26.4°C, calculated using the specific heat formula and the amount of heat transferred.

Step-by-step explanation:

The student asked a question regarding a chemical reaction inside a flask, which resulted in 85.2 kJ of heat being transferred to a water bath. To calculate the new temperature of the water bath, we first convert the mass of water from kilograms to grams: 9.40 kg is equal to 9400 grams. Next, we use the formula q = mcΔT, where m is the mass of the water, c is the specific heat capacity, and ΔT is the change in temperature.

Since we know the amount of heat transferred (q) and the specific heat capacity (c), we can rearrange the formula to solve for ΔT: ΔT = q / (mc).

Plugging in the values: ΔT = 85,200 J / (9400 g * 4.18 J/g°C) = 85,200 J / 39,292 J/°C

= 2.169 °C.

To find the new temperature of the water bath (Tnew), we add the change in temperature to the initial temperature: Tnew = 24.2 °C + 2.169 °C = 26.369 °C.

Rounding to three significant digits, the new temperature of the water bath is 26.4 °C.