Тооцоо

PV = nRT- ийг ямар ч утгатай, өөрийн сонгосон даралт, хэмжээ, температурын нэгжүүдээр шийд.

mol
Даралт —
Дуу чимээ —
хэмжээ —
Цаг агаар —

Тоо бичсэнээр үр дүнг шинэчилнэ.

Энэ калькулятор танд зөв хариулт өгсөн үү?

Энэ калькуляторын тухай

The ideal gas law ties together the four state variables of a gas in one equation, PV = nRT: pressure times volume equals the number of moles times the gas constant times the absolute temperature. The constant R = 8.314462618 J/(mol·K) in SI units. Rearranged, you can solve for any variable — P = nRT/V, V = nRT/P, n = PV/RT or T = PV/nR — and this calculator does exactly that, converting pressure (Pa, kPa, bar, atm, mmHg, psi), volume (m³, L, mL, cm³) and temperature (K, °C, °F) internally so you can work in whatever units you have.

The classic worked example is one mole of gas at standard temperature and pressure: at 0 °C (273.15 K) and 1 atm, V = nRT/P = 1 × 8.314 × 273.15 / 101,325 ≈ 0.0224 m³, or the familiar 22.4 litres per mole. Heat that gas to 300 K at constant pressure and the volume rises in proportion, since V ∝ T. A crucial detail: temperature must be absolute — always convert °C or °F to kelvin (add 273.15 to °C) before the math, which the calculator handles for you.

The law is called "ideal" because it assumes gas molecules have no volume and do not attract one another. Real gases follow it closely at ordinary pressures and temperatures well above their boiling point, and it is the everyday tool for scuba and diving gas calculations, chemistry stoichiometry of gases, HVAC and pneumatics, and estimating how a balloon or tyre responds to heating and cooling. It becomes less accurate at very high pressure or near condensation, where equations like van der Waals do better.

Жишээ асуултууд

Идеал хийний хууль гэж юу вэ?

PV = nRT links pressure, volume, moles and temperature of an ideal gas through the constant R = 8.314 J/(mol·K). Rearrange it to solve for any single variable.

Ямар нэгж зөв вэ?

Internally everything is SI — pascals, cubic metres, moles and kelvin — with R = 8.314. One mole of gas at 0 °C (273.15 K) and 1 atm occupies about 22.4 L (0.0224 m³). Enter any units you like; the calculator converts for you.

Яагаад температур нь Келвин байх ёстой вэ?

PV = nRT нь 0K нь нэн нуль, 0K бол нэн нуль гэсэн утгатай, нэн температурыг ашигладаг. Цельсий, Фаренгейт нь нэн нультэй, °C- ийг шууд оруулбал буруу хариулт гарна. °C- ийг 273. 15- ээр нэмэгдүүлбэл Келвин гарна. Энэ нь тооцоолох программ автоматаар хийнэ.

STP ба молын хэмжээ гэж юу вэ?

Standard temperature and pressure is commonly 0 °C and 1 atm, at which one mole of an ideal gas occupies about 22.4 litres. This "molar volume" is a handy check: if your result for one mole near those conditions is far from 22.4 L, recheck the units.

Идеал хийний хууль хэзээ зөрчигддөг вэ?

It is very accurate at moderate pressures and temperatures well above the boiling point, but grows inaccurate at high pressure or near condensation, where molecular volume and attractions matter. Real-gas equations like van der Waals handle those.

Нэг утга өөрчлөгдөхөд бусад нь хэрхэн нөлөөлдөг вэ?

At fixed moles, pressure and volume are inversely related (Boyle’s law), while volume and absolute temperature are directly related (Charles’s law). Heat a sealed rigid container and the pressure rises in proportion to the kelvin temperature.

R-ийн ямар утга ашиглах вэ?

It depends on units. In SI it is 8.314 J/(mol·K); in litre-atmospheres it is 0.08206 L·atm/(mol·K). This calculator works in SI internally with R = 8.314, so you can enter any units and it reconciles them.

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Сүүлийн цэг

GET https://calculator.free/api/v1/ideal-gas-law/

curl

curl "https://calculator.free/api/v1/ideal-gas-law/?solve=volume&pressure=1&pressure_unit=atm&volume=22.4&volume_unit=l&moles=1&temperature=273.15&temperature_unit=k"

JavaScript fetch()

const r = await fetch(
  "https://calculator.free/api/v1/ideal-gas-law/?" + new URLSearchParams({
    "solve": "volume",
    "pressure": "1",
    "pressure_unit": "atm",
    "volume": "22.4",
    "volume_unit": "l",
    "moles": "1",
    "temperature": "273.15",
    "temperature_unit": "k"
  }));
const data = await r.json();
console.log(data.results);

Энэ нь зөвхөн ерөнхий зөвлөгөөний дүн шинжилгээ бөгөөд санхүү, эмнэлгийн болон татварын зөвлөгөө биш юм.