Agiven amount of gas at 15 degrees celsius has pressure p. what will be its temperature if the pressure becomes 3p, keeping volume constant

591°C

Explanation:

Ideal gas law says:

PV = nRT

where P is absolute pressure, V is volume, n is amount of gas in moles, R is the universal gas constant, and T is absolute temperature.

Rearranging, we can put pressure and temperature on one side:

P/T = nR/V

The amount of gas and volume of gas is held constant, so:

P/T = k

Which means:

P₁ / T₁ = P₂ / T₂

Given that P₁ = P, P₂ = 3P, and T₁ = 15°C = 288 K:

P / 288 = 3P / T₂

T₂ = 864 K

The new temperature is 864 K or 591°C.

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)