A test tube containing a mixture of compounds X, Y, and a small amount of Z weighs 25.4886 g. The tube is emptied into a beaker and the empty tube is reweighed, giving a value of 10.2586 g. The mixture is separated into two components by dissolving in water, filtering off the insoluble material (Component X) and then crystallizing one component (Y) from the filtrate. The following data was obtained:

Mass of filter paper/Lg.watch glass: 12.9912 g
Mass of filter paper/Lg.watch glass + X: 23.5899 g
Mass of filter paper/Sm.watch glass: 9.4332 g
Mass of filter paper/Sm.watch glass + Y: 12.1622 g

Calculate the following: 1. Mass of sample
2. Mass of X recovered
3. Mass of Y recovered
4. % X in the sample
5. % Y in the sample
6. Assuming the actual composition is 69.00% X and 31.00% Y, calculate the % error for each component. Indicate if the %Error represents a HIGH or LOW error relative to the accepted values.

Is this right?

1. Mass of Sample:
= (mass of total)- (mass of empty tube)
= 25.4886 g - 10.2586 g
= 15.2300 g
2. Mass of X recovered:
= (mass of filter paper/large watch glass + X) - (mass of filter paper/lg. watch glass)
= 23.5899 g - 12.9912 g
= 10.5987 g
3. Mass of Y recovered:
= (mass of filter paper/small watch glass + Y) - (mass of filter paper/sm. watch glass)
= 12.1622 g - 9.4332 g
= 2.7290 g
4. % of X in sample:
= [(mass of X) / (mass of total)] * 100%
= (10.5987 g / 25.4886 g) * 100%
= 41.6%
5. % of Y in sample:
= [(mass of Y) / (mass of total)] * 100%
= (2.7290 g / 25.4886 g) * 100%
= 10.7%
6. Percent Error:
= [(|accepted value - determined value|) / (accepted value)] * 100%
For X:
= [(|.6900 - .416|) / (.6900)] * 100%
= 39.7%
For Y:
= [(|.3100 - .107|) / (.3100)] * 100%
= 65.4%

To answer these questions, we need to analyze the given data and calculate various values.

1. Mass of sample:
To calculate the mass of the sample, we need to subtract the mass of the empty test tube from the mass of the test tube containing the mixture.
Mass of sample = Mass of test tube containing the mixture - Mass of empty test tube
Mass of sample = 25.4886 g - 10.2586 g
Mass of sample = 15.23 g

2. Mass of X recovered:
The mass of X can be obtained by subtracting the mass of the empty filter paper or large watch glass from the total mass of the filter paper or large watch glass with X.
Mass of X recovered = Mass of filter paper/Lg.watch glass + X - Mass of filter paper/Lg.watch glass
Mass of X recovered = 23.5899 g - 12.9912 g
Mass of X recovered = 10.5987 g

3. Mass of Y recovered:
The mass of Y can be obtained by subtracting the mass of the empty filter paper or small watch glass from the total mass of the filter paper or small watch glass with Y.
Mass of Y recovered = Mass of filter paper/Sm.watch glass + Y - Mass of filter paper/Sm.watch glass
Mass of Y recovered = 12.1622 g - 9.4332 g
Mass of Y recovered = 2.729 g

4. % X in the sample:
To calculate the percentage of X in the sample, we need to divide the mass of X by the mass of the sample and multiply by 100.
% X in the sample = (Mass of X recovered / Mass of sample) * 100
% X in the sample = (10.5987 g / 15.23 g) * 100
% X in the sample = 69.38%

5. % Y in the sample:
To calculate the percentage of Y in the sample, we need to divide the mass of Y by the mass of the sample and multiply by 100.
% Y in the sample = (Mass of Y recovered / Mass of sample) * 100
% Y in the sample = (2.729 g / 15.23 g) * 100
% Y in the sample = 17.92%

6. % Error for each component:
To calculate the percentage error for each component, we need to compare the experimental percentage with the actual percentage and calculate the difference as a percentage of the actual percentage.
% Error for X = |% X in the sample - 69.00%| / 69.00% * 100
% Error for X = |69.38% - 69.00%| / 69.00% * 100
% Error for X = 0.55%, which represents a low error relative to the accepted value.

% Error for Y = |% Y in the sample - 31.00%| / 31.00% * 100
% Error for Y = |17.92% - 31.00%| / 31.00% * 100
% Error for Y = 42.84%, which represents a high error relative to the accepted value.