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Answer:
Explanation:
From the given information:
Since both stars are in the same cluster, the magnitude and luminosity relationship can be calculated as:
Given that;
m_1 = 1 and
m_2 = 4
Therefore,
Making the subject of the formula:
=15.84
≅ 16
Hence, we can conclude that star X is more luminous by a factor of 16
<u>Answer:</u> The freezing point of solution is -3.34°C
<u>Explanation:</u>
Vant hoff factor for ionic solute is the number of ions that are present in a solution. The equation for the ionization of calcium nitrate follows:
The total number of ions present in the solution are 3.
- To calculate the molality of solution, we use the equation:
Where,
= Given mass of solute
= 11.3 g
= Molar mass of solute
= 164 g/mol
= Mass of solvent (water) = 115 g
Putting values in above equation, we get:
- To calculate the depression in freezing point, we use the equation:
where,
i = Vant hoff factor = 3
= molal freezing point depression constant = 1.86°C/m.g
m = molality of solution = 0.599 m
Putting values in above equation, we get:
Depression in freezing point is defined as the difference in the freezing point of water and freezing point of solution.
= 3.34 °C
Freezing point of water = 0°C
Freezing point of solution = ?
Putting values in above equation, we get:
Hence, the freezing point of solution is -3.34°C