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500 ml of nitrogen and 500 ml of hydrogen are kept together in one vessel at the same constant temperature and pressure. Which of the following is true for their number of molecules? N_(N2)gt N_(H2) N_(N2)lt N_(H2) N_(N2)=N_(H2) N_(N2)+N_(H2)=1 mole

Question

500 ml of nitrogen and 500 ml of hydrogen are kept together in one vessel at
the same constant temperature and pressure. Which of the following is true for
their number of molecules?
N_(N2)gt N_(H2)
N_(N2)lt N_(H2)
N_(N2)=N_(H2)
N_(N2)+N_(H2)=1 mole

500 ml of nitrogen and 500 ml of hydrogen are kept together in one vessel at the same constant temperature and pressure. Which of the following is true for their number of molecules? N_(N2)gt N_(H2) N_(N2)lt N_(H2) N_(N2)=N_(H2) N_(N2)+N_(H2)=1 mole

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SophiaAdvanced · Tutor for 1 years

Answer

### $N_{N2} = N_{H2}$

Explain

## Step1: Identify the Relationship Between Volume and Number of Molecules<br />### According to Avogadro's Law, equal volumes of gases at the same temperature and pressure contain an equal number of molecules. This implies that if we have 500 ml of nitrogen ($N_2$) and 500 ml of hydrogen ($H_2$) under the same conditions, the number of molecules of each gas will be the same.<br /><br />## Step2: Apply Avogadro's Law<br />### Given that the volumes of nitrogen and hydrogen are equal and they are under the same temperature and pressure, we can conclude that the number of molecules of nitrogen ($N_{N_2}$) is equal to the number of molecules of hydrogen ($N_{H_2}$).<br /><br />#
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