calculate the number of kilojoule necessary to raise the temperature of 60 gram of aluminium from 35 degree Celsius to 55 degree Celsius.Molar capacity of aluminium is 24 joule per mole per Kelvin?

To calculate the number of kilojoules necessary to raise the temperature of a given amount of substance, you need to follow these steps:

1. Convert the given mass of aluminum from grams to moles.
2. Determine the change in temperature in Kelvin.
3. Use the molar heat capacity of aluminum to calculate the energy required.
4. Convert the energy from joules to kilojoules.

Now, let's go through each step in detail:

Step 1: Convert mass to moles.
The molar mass of aluminum (Al) is approximately 26.98 g/mol. Divide the given mass (60 g) by the molar mass to obtain the number of moles.

Number of moles = 60 g / 26.98 g/mol = 2.223 moles

Step 2: Determine the change in temperature.
The change in temperature is calculated by subtracting the initial temperature from the final temperature.

Change in temperature = Final temperature - Initial temperature
= (55 °C + 273.15) K - (35 °C + 273.15) K
= 328.15 K - 308.15 K
= 20 K

Step 3: Calculate the energy required.
The molar heat capacity relates the energy change to the number of moles and change in temperature.
The molar heat capacity is given as 24 J/mol·K.

Energy required = Number of moles * Molar heat capacity * Change in temperature
= 2.223 mol * 24 J/mol·K * 20 K
= 1065.12 J

Step 4: Convert to kilojoules.
To convert joules to kilojoules, divide the energy value by 1000.

Energy required in kilojoules = 1065.12 J / 1000
= 1.06512 kJ

Therefore, the number of kilojoules necessary to raise the temperature of 60 grams of aluminum from 35 °C to 55 °C is approximately 1.06512 kJ.