Question

Газометр вмещает при нормальных условиях углекислый газ массой 0.50 кг. Определить массу находящегося в газометре углекислого газа, если термометр показывает 17 С, а манометр — 93.3 кПа. (Ответ: 434 г)

Answer 1

To determine the mass of carbon dioxide gas in the gasometer, we need to use the ideal gas law equation, which states that the pressure, volume, and temperature of a gas are related. The equation is as follows:

PV = nRT

Where: P = pressure of the gas (in pascals or kilopascals) V = volume of the gas (in cubic meters or liters) n = number of moles of gas R = ideal gas constant (8.314 J/(mol·K) or 0.0821 L·atm/(mol·K)) T = temperature of the gas (in kelvin)

First, we need to convert the given temperature from Celsius to Kelvin by adding 273.15: 17°C + 273.15 = 290.15 K

Next, we need to convert the given pressure from kilopascals to pascals: 93.3 kPa = 93,300 Pa

Now, we can rearrange the ideal gas law equation to solve for the number of moles (n) of carbon dioxide gas: n = PV / RT

Since we are given the pressure, volume, and temperature, we can substitute these values into the equation to find the number of moles.

Let's calculate it step by step:

1. Convert the volume from kilograms to moles: Using the molar mass of carbon dioxide (44.01 g/mol), we can convert the given mass of 0.50 kg to moles: 0.50 kg * (1000 g / 1 kg) * (1 mol / 44.01 g) = 11.35 mol

2. Calculate the number of moles of carbon dioxide gas in the gasometer: n = PV / RT n = (93,300 Pa) * V / ((8.314 J/(mol·K)) * (290.15 K)) Since the volume is not given, we cannot calculate the number of moles accurately.

Unfortunately, without knowing the volume of the gasometer, we cannot determine the mass of carbon dioxide gas in it.