0.1 mole of compound S will weigh ...... g, (given the molar mass in g mol\(^{-1}\) C = 12, H = 1, O = 16)
To determine the weight in grams of 0.1 mole of compound S, we first need to calculate the molar mass of compound S using its chemical formula. The compound S given is C2H6O.
Calculate the molar mass of C2H6O:
Adding these values together gives the molar mass of C2H6O:
Molar Mass = 24 + 6 + 16 = 46 g/mol
To find the weight of 0.1 mole of C2H6O, use the formula:
Weight = Moles × Molar Mass
Weight of 0.1 mole = 0.1 × 46 = 4.6 g
The calculated weight is 4.6 g, which precisely matches the expected range of 4.6,4.6, confirming the correctness of the solution.
Among $ 10^{-10} $ g (each) of the following elements, which one will have the highest number of atoms?
Element : Pb, Po, Pr and Pt
Let \( S = \left\{ m \in \mathbb{Z} : A^m + A^m = 3I - A^{-6} \right\} \), where
\[ A = \begin{bmatrix} 2 & -1 \\ 1 & 0 \end{bmatrix} \]Then \( n(S) \) is equal to ______.