The 6.023 * 10²³ molecule means 384.7 grams of Vitamin D.
<h3>What is a mole ?</h3>
A mole is a universal unit used to measure large number of atoms , molecules of an element.
one mole is equal to the Avogadro's Constant.
Mole is equal to the ratio of the mass of a compound to its molecular weight
It is given that Vitamin D is present
no. of molecule = 6.023 * 10²³
6.023 * 10²³ molecule constitutes of 1 mol
1 mole is equal to the molar mass of a compound/ element
Therefore 1 mole = 384.7grams of Vitamin D
and hence 6.023 * 10²³ molecule means 384.7 grams of Vitamin D.
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For your first question, that equation only works if your situation is occurring at a constant temperature. Your original question is such a situation - everything occurs at 298.15 K. Therefore, you can use this value in the equation to calculate work.
For your second question, Charles' Law describes how the volume of gas changes as you heat or cool it, PROVIDED PRESSURE AND MOLES OF GAS REMAIN CONSTANT THE WHOLE TIME. In your original question above, temperature stays constant while volume changes. However, what they don't tell you is that this necessarily requires a change in either pressure or moles of gas. Because the question works with the same sample the of gas the whole time (i.e. moles are constant), it is pressure that is changing (and this change will occur according to Boyle's Law, since temperature and moles are held constant).
Hope that clarifies things!
The correct answer is a. This is because the pH of a solution is defined as -log10(concentration of H+ ions). An inverse logarithmic scale such as this means that a solution with a lower concentration of H+ ions will have a higher pH than one with a higher concentration. Therefore we know that the pH of the second sample will be higher than the first.
Since the logarithmic scale has the base 10, a change by 1 on the scale is a consequence of multiplication/division of the H+ concentration by a factor of 10. As the scale is inverse, this means that a decrease of concentration by factor 1000 is equivalent to increasing the pH by (1000/10) = 3.
