When dry and empty, a flask had a mass of 27.31 grams. When filled with distilled water at 25.0 deg C, it weighed 36.84 grams. After cleaning and drying, the flask was filled with chloroform and found to weigh 41.43 grams. At 25.0 deg C, the density of water is 0.9970 g/cm^3. What is the density of chloroform?

mass = density x density

or
M = DV
Applying this to water,
36.84g = (0.9970g/mL)(V)
For chloroform,
41.43g = (x)(V)
Dividing the left sides and right sides, we get:
41.43g / 36.84g = (0.9970g/mL) / x
(the equal volumes cancel out)
Solve the above proportion for x

To find the density of chloroform, we need to use the given information about the mass and volume.

1. Calculate the volume of water added to the flask:
- When the flask was empty, it had a mass of 27.31 grams.
- When it was filled with water, it weighed 36.84 grams.
- The mass of water added can be calculated as: mass of filled flask - mass of empty flask
= 36.84 grams - 27.31 grams = 9.53 grams
- Since the density of water is given as 0.9970 g/cm^3, we can calculate the volume of water added as: volume = mass / density
= 9.53 grams / 0.9970 g/cm^3 = 9.57 cm^3

2. Calculate the volume of chloroform added to the flask:
- When the flask was empty, it had a mass of 27.31 grams.
- When it was filled with chloroform, it weighed 41.43 grams.
- The mass of chloroform added can be calculated as: mass of filled flask - mass of empty flask
= 41.43 grams - 27.31 grams = 14.12 grams
- To calculate the volume of chloroform added, we need to know its density. Let's call it D_chloroform.
- Then, we can use the formula: volume = mass / density
volume = 14.12 grams / D_chloroform

3. Now, we can set up a ratio of the volumes of water and chloroform added to the flask:
volume of water / volume of chloroform = volume of water added / volume of chloroform added
9.57 cm^3 / (14.12 grams / D_chloroform) = 9.57 / (14.12 / D_chloroform)

4. Simplify the ratio using the given values and rearrange the equation to solve for D_chloroform:

9.57 / (14.12 / D_chloroform) = 0.9970 g/cm^3
(9.57 * D_chloroform) / 14.12 = 0.9970
(9.57 * D_chloroform) = 14.12 * 0.9970
(9.57 * D_chloroform) = 14.05364
D_chloroform = 14.05364 / 9.57

5. Calculate the density of chloroform:
D_chloroform = 1.4688 g/cm^3

Therefore, the density of chloroform is approximately 1.4688 g/cm^3.