# When 3g of sodium hydroxide (NaOH) was dissolved in 150g of water a value of 10.5 degrees C was obtained for delta T.

Calculate the heat (calories) produced by the solution of 3 g of NaOH
Calculate the number of calories that would be produced if one mole of sodium hydroxide was dissolved.

heat produced: masswater*cwater*deltaTemp

heat per mole: heatproduced*molmassNaOH/3

6 years ago

20999.5

8 months ago

## To calculate the heat produced by the solution of 3g of NaOH, we can use the formula:

Heat produced = mass of water * specific heat capacity of water * change in temperature (Î”T)

Given:
Mass of water (m) = 150g
Change in temperature (Î”T) = 10.5Â°C

The specific heat capacity of water (c) is approximately 1 calorie/gramÂ°C.

Plugging in the values, we have:
Heat produced = 150g * 1 calorie/gÂ°C * 10.5Â°C
Heat produced = 1575 calories

Therefore, the heat produced by the solution of 3g of NaOH is 1575 calories.

To calculate the number of calories that would be produced if one mole of sodium hydroxide (NaOH) was dissolved, we need to know the molar mass of NaOH.

The molar mass of NaOH is:
Sodium (Na) = 22.99 g/mol
Oxygen (O) = 16.00 g/mol
Hydrogen (H) = 1.01 g/mol

Adding up these masses gives us:
Molar mass of NaOH = 22.99 g/mol + 16.00 g/mol + 1.01 g/mol = 40.00 g/mol

Now we can use the heat produced and the molar mass of NaOH to calculate the heat per mole:

Heat per mole = Heat produced * (Molar mass of NaOH / 3)

Plugging in the values, we have:
Heat per mole = 1575 calories * (40.00 g/mol / 3)
Heat per mole â‰ˆ 21,000 calories

Therefore, if one mole of sodium hydroxide (NaOH) was dissolved, it would produce approximately 21,000 calories.