Answer:
THE FINAL TEMPERATURE OF WATER IS 459.32 K
Explanation:
Mass of sodium = 23 g
Volume of water = 293 cm3
Initial temperature = 298 K
Specific heat capacity of water = 4.18 J/Kg
Enthalpy change = 197 kJ = 197, 000 J
Heat = mass * specific heat * change in temperature
From the statement it shows that the initial temperature is 298 K or 25 °C and at this temperature the density of water is 0.99707 g/mL
Hence we can calculate the mass of water by using this formula:
Mass = volume * density
Mass = 293 cm3 * 0.99707 g/mL
Mass = 292.14 g
The enthalpy change = mass * specific heat * change in temperature
197, 000 = 292.14 * 4.18 * change in temperature
Change in temperature = 197 000 / 292.14 * 4.18
Change in temperature = 197 000 / 1221.1452
Change in temperature = 161.32 K
Hence, the final temperature of the water is therefore the addition of initial temperature and the change in temperature
Final temperature = initial temp + change in temp
Final temp = 298 K + 161.32 K
Final temp = 459.32 K
In conclusion, the final temperature of water is 459.32 K
