Question

10. If the largest common factor of 408 and 1032 is expressible in the form 1032 x 2 + 408 × p, then the value of p is
4
-4
5
-5

Answer 1

Answer:

Let us discuss the options one-by one and their physical properties:

A. nitrogen: The nitrogen talked about here is dinitrogen or nitrogen gas (N2). It is a colourless and odourless gas. It is a diatomic gas. Nitrogen is the lightest element of group 15 of the periodic table. The atomic mass of nitrogen gas (N2) is twice the mass of nitrogen element (N). The atomic mass of nitrogen is 7 grams. The mass of (N2) will be 2×7 or 14 grams. This gas forms 78% of earth’s atmosphere.

B. helium: Helium exists as helium gas (He) only with 2 protons present in it. It is the first element of the noble gas group. It is tasteless, colourless, inert and odourless gas. It is a monatomic gas. Helium is the second lightest gas with lowest boiling point. The atomic mass of helium gas (He) is 4 grams.

C. oxygen: The oxygen talked about here is dioxygen or oxygen gas (O2). It is a colourless and odourless gas. It is a diatomic gas. It is the third most abundant element by mass after helium and hydrogen. The atomic mass of oxygen gas (O2) is twice the mass of oxygen element (O). The atomic mass of the oxygen element is 8 grams. The mass of (O2) will be 2×8 or 16 grams. This gas forms 21% of earth’s atmosphere.

D. hydrogen: The hydrogen talked about here is dihydrogen or hydrogen gas (H2). It is a colourless and odourless gas. It is a diatomic gas. Hydrogen is the lightest element of the periodic table, thus, hydrogen gas is the lightest gas. The atomic mass of hydrogen gas (H2) is twice the mass of hydrogen element (H). The atomic mass of the hydrogen element is 1 gram. The mass of (H2) will be 2×1 or 2 grams.

The order of atomic masses of gases will be O2>N2>He>H2. So, the minimum gas is hydrogen gas. It has the least mass so it will be the lightest gas.

So, the correct answer is “Option D”.